MinT - Information on Result #2641737

Information on Result #2641737

Linear OOA(5¹⁴⁷, 99, F₅, 3, 72) (dual of [(99, 3), 150, 73]-NRT-code), using strength reduction based on linear OOA(5¹⁴⁷, 99, F₅, 3, 73) (dual of [(99, 3), 150, 74]-NRT-code), using

constructionÂ X applied to AG(3;F,157P) âŠ‚ AG(3;F,187P) [i] based on
1. linear OOA(5¹¹¹, 77, F₅, 3, 73) (dual of [(77, 3), 120, 74]-NRT-code), using algebraic-geometric NRT-code AG(3;F,157P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁸¹, 77, F₅, 3, 43) (dual of [(77, 3), 150, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,187P) [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78 (see above)
3. linear OOA(5³⁶, 22, F₅, 3, 29) (dual of [(22, 3), 30, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,36P) [i] based on function field F/F₅ with g(F) = 7 and N(F) ≥ 22, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.